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100202050332 = 223223317381757
BaseRepresentation
bin101110101010010000…
…0011111001100011100
3100120122020211120012100
41131110200133030130
53120203211102312
6114010541405100
710145046242346
oct1352440371434
9316566746170
10100202050332
113954a49954a
1217505569790
1395ab634057
144bc7c18296
152916d4b5dc
hex175481f31c

100202050332 has 72 divisors (see below), whose sum is σ = 265135512096. Its totient is φ = 31847612544.

The previous prime is 100202050331. The next prime is 100202050367. The reversal of 100202050332 is 233050202001.

It is a super-2 number, since 2×1002020503322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202050331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71598 + ... + 453354.

It is an arithmetic number, because the mean of its divisors is an integer number (3682437668).

Almost surely, 2100202050332 is an apocalyptic number.

100202050332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100202050332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132567756048).

100202050332 is an abundant number, since it is smaller than the sum of its proper divisors (164933461764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100202050332 is a wasteful number, since it uses less digits than its factorization.

100202050332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382107 (or 382102 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 100202050332 its reverse (233050202001), we get a palindrome (333252252333).

The spelling of 100202050332 in words is "one hundred billion, two hundred two million, fifty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 317 414 634 828 951 1268 1902 2853 3804 5706 7291 11412 14582 21873 29164 43746 65619 87492 131238 262476 381757 763514 1145271 1527028 2290542 3435813 4581084 6871626 8780411 13743252 17560822 26341233 35121644 52682466 79023699 105364932 121016969 158047398 242033938 316094796 363050907 484067876 726101814 1089152721 1452203628 2178305442 2783390287 4356610884 5566780574 8350170861 11133561148 16700341722 25050512583 33400683444 50101025166 100202050332